To solve the problem:
Part A: Which ordered pair represents the unit rate for this situation?
To find the unit rate of items returned per item sold, we can set up the ordered pair as follows:
The number of returns is 566, and the number of items sold is 11,689. The unit rate is expressed as returns per sale (returns per item sold).
So, the ordered pair representing this would be:
\[ \left( \frac{566}{11689}, 1 \right) \]
However, this specific structure is not provided among the options. The closest option is:
A: (1, 566/11,689) Noted as \( A: \left(1, \frac{566}{11689}\right) \).
Part B: If there are 14,699 sales next month, how many items will probably be returned?
First, to find out the return rate, we can calculate it:
Return rate per item = Total returns / Total items sold = 566 / 11,689.
Next, we apply that rate to the projected sales next month:
Expected returns = (Return rate) * (Sales next month)
Calculating the return rate:
\[ Return: rate = \frac{566}{11689} \approx 0.048478 \]
Then, multiplying this by the projected sales:
\[ Expected: returns = 0.048478 \times 14699 \approx 712.356 \]
Rounding to the nearest whole number gives us approximately 712 items.
Thus, the answers are:
Part A: A: (1, 566/11,689) (or A: open paren 1 comma the fraction with numerator 566 and denominator 11 comma 689 close paren)
Part B: B: 712 items
1 answer